document.write( "Question 206134: An advertising agency begins a campaign to promote a new product and determines that t days later, the number of people N(t) who have heard about the product is changing at a rate given by: N'(t) = 5t^2 - (0.04/t^2 3) people per day. How many people learn about the product during the first week? During the second week?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #155688 by Marth(57) $\"\"$ $\"About$

You can put this solution on YOUR website!
N'(t) = $\"5t%5E2+-+%280.04%2F%28t%5E%282%2F3%29%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So the number of people who have heard about the product can be found by integrating N'(t).
\n" ); document.write( "integral( $\"5t%5E2+-+%280.04%2F%28t%5E%282%2F3%29%29%29\"$ ) = $\"%285%2F3%29t%5E3+-+%280.12t%5E%281%2F3%29%29\"$
\n" ); document.write( "

\n" ); document.write( "The first week encompasses days 0 to 7, so find $\"%285%2F3%29t%5E3+-+%280.12t%5E%281%2F3%29%29\"$ from 0 to 7.
\n" ); document.write( "
\r
\n" ); document.write( "\n" ); document.write( "For the second week, find $\"%285%2F3%29t%5E3+-+%280.12t%5E%281%2F3%29%29\"$ from 7 to 14. \n" ); document.write( "

\n" );